How to Find GCF of 9225/299, 9105/4719?

GCF of 9225/299, 9105/4719

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9225/299, 9105/4719 i.e 15/108537 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9225/299, 9105/4719.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9225/299,9105/4719?

Given fractions are 9225/299,9105/4719

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9225/299,9105/4719, numerators are 9225,9105

Denominators are 299,4719

The GCF of 9225,9105 is 15 .

LCM of 299,4719 is 108537.

The greatest common factor of 9225/299,9105/4719 = [GCF of 9225,9105]/[LCM of 299,4719]= 15/108537

Therefore, the GCF of 9225/299,9105/4719 is 15/108537.

Greatest Common Factor of 9225,9105

To find the highest common factor of 9225,9105, we have to find the factors of both numbers and list the highest common factor.

The factors of 9225 are 1, 3, 5, 9, 15, 25, 41, 45, 75, 123, 205, 225, 369, 615, 1025, 1845, 3075, 9225

The factors of 9105 are 1, 3, 5, 15, 607, 1821, 3035, 9105

The HCF of 9225,9105 is 15.

Lets's calculate GCF of 9225,9105

Greatest Common Factor (GCF) of 9225,9105 By Common Division

3	9225, 9105
5	3075, 3035
	615, 607

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 9225,9105 By Matching Biggest Common Factor Method

Now, list down the factors of 9225

1,3,5,9,15,25,41,45,75,123,205,225,369,615,1025,1845,3075,9225

Now, list down the factors of 9105

1,3,5,15,607,1821,3035,9105

Greatest Common Factor

We found the factors 9225,9105 . The biggest common factor number is the GCF number.
So the greatest common factor 9225,9105 is 15.

Lets's calculate LCM of 299,4719

Lowest Common Multiple of 299,4719 using Common Division

13	299, 4719
	23, 363

∴ So the LCM of the given numbers is 13 x 23 x 363 = 108537

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/108537

Therefore, the GCF of Fractions 9225/299,9105/4719 is 15/108537

Least Common Multiple of 299,4719 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 299,4719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,4719) = 13

common factors(in case of two or more numbers have common factors) = 1

GCF(299,4719) x common factors =13 x 1 = 13

LCM(299,4719) = ( 299 × 4719 ) / 13

LCM(299,4719) = 1410981 / 13

LCM(299,4719) = 108537

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FAQs on GCF of Fractions of 9225/299, 9105/4719

1. What is the HCF of 9225,9105?

The HCF of 9225,9105 is 15

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 9225/299, 9105/4719?

Answer: GCF of Numerators as per given numbers 9225/299, 9105/4719 is

GCF of Numerators i.e. for 9225,9105 is 15

LCM of denominators i.e. for 299,4719 is 108537.

Thus, GCF of Fractions is 15/108537.Finally, GCF of Fractions for 9225/299, 9105/4719 is 15/108537.